For Moose I like Federal Fusion 180gr. Always very accurate in every rifle I tried. Good for 500 meters on moose.

For Deer out to 500 meters I like the Federal Premium 165gr Gameking. Also Superbly accurate. Or the 165gr Fusion is great on deer out to 500m.

For small deer (weighing less than 50kg) The Federal fusion 150gr will work best.

Bottom line... Federal Premium and Federal Fusion lines of ammo have always been very accurate no matter the rifle.

Here is a pic of a 5-shot group of Federal Premium 100 gr Gameking, 243win at 100 meters.

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Here is a pic of 5-shots at 300 meters with the 308win Federal Premium 165 gr Sierra Gameking...

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Here is a 3-shot group with the 308win 180gr Fusion at 300 meters before adjusting the scope...

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And here is the follow up 3-shots after adjusting the scope for the 300meter zero...

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The 308win rifle that shot those groups was a Savage 10 FCP-K.